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Finding the Fourth Proportional to 9,304.11, 12,842.04 and 5,765.22

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Solution

The fourth proportional to 9,304.11, 12,842.04 and 5,765.22 is: 7,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.11 : 12,842.04 = 5,765.22 : x
  2. Step 2: Convert to fraction form
    9,304.11/12,842.04 = 5,765.22/x
  3. Step 3: Cross multiply
    9,304.11x = 12,842.04 × 5,765.22
  4. Step 4: Simplify right side
    9,304.11x = 74,037,185.85
  5. Step 5: Solve for x
    x = 74,037,185.85/9,304.11
  6. Step 6: Final answer
    x = 7,957.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.